Li walks at a constant rate of 7 ft. in 4 seconds. The table shows the relationship of feet to seconds. What is the constant of proportionality for the relationship of feet to minutes? (1 minute=60 seconds) *
10 points

Answers

Answer 1

Answer:

The rate is 1.75 feet/seconds or 105 feet/minute.

Step-by-step explanation:

Given that,

Li walks at a constant rate of 7 feet in 4 seconds

To find the constant of proportionality, divide 7 feet by 4 seconds.

So,

[tex]k=\dfrac{7\ \text{feet}}{4\ \text{seconds}}\\\\k=1.75\ \text{ft/s}[/tex]

1.75 ft/s is the constant of proportionality

We know that, 1 minute = 60 seconds

k = 105 feet/minute

So, the rate is 1.75 feet/seconds or 105 feet/minute.


Related Questions

what is x and y shown in the photo above?

Answers

Answer:

[tex]\huge\boxed{x = 11,\ y = 3}}[/tex]

Step-by-step explanation:

In order to find the value of x and y in this, we have to note a couple of angle relationships.

We know that angles [tex]13x-19[/tex] and [tex]9x+25[/tex] are the same because they are corresponding angles. This means that when a line intersects two parallel lines, the angles formed are congruent to the second line.

This means both expressions for the line will be equal to each other:

[tex]13x-19 = 9x+25[/tex]

We can now solve for x.

Add 19 to both sides:

[tex]13x = 9x+44[/tex]

Subtract 9x from both sides:

[tex]4x=44[/tex]

Divide both sides by 4:

[tex]x=11[/tex]

Now that we know that x = 11, we can use another angle relationship to find y.

We know that [tex]13x-19[/tex] and [tex]17y+5[/tex] are supplementary angles. This means their angle measurements add up to 180°.

Since we know the value of x, we can find the measure of the angle [tex]13x-19[/tex].

[tex]13(11) -19\\\\143-19\\\\124[/tex]

So the [tex]13x-19[/tex] angle is equal to 124 degrees. Since this and [tex]17y+5[/tex] are supplementary, that means [tex]17y+5[/tex] must be equal to [tex]180-124=56[/tex] degrees.

[tex]17y+5=56[/tex]

Subtract 5 from both sides:

[tex]17y=51[/tex]

Divide both sides by 17:

[tex]y=3[/tex]

So, x = 11 and y = 3.

Hope this helped!

Answer:

Y=3

X=11

Step-by-step explanation:

9x + 25 is = to 13x - 19 so you would do exactly that.

9x + 25 = 13x -19

-9x -9x

25 = 4x -19

+19 +19

44 = 4x

4 4

11 = x

9*11+25= 124

And 124 is not equal to 17y+5 so the equation would be

124 + 17y +5 = 180

124 + 5 = 130

129 + 17y = 180

-129 -129

17y = 51

17 17

Y= 3

A local zoo has two large snakes. The anaconda is currently 5.23 meters long and grows 1.27 meters every month. The python is 4.76 meters long and grows 2.04 meters per month. How many months (m) does the zookeeper need to wait for the two snakes to be the same length?

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Anaconda:

Current length = 5.23metres

Growth rate = 1.27 metres per month

Python :

Current length = 4.76metres

Growth rate = 2.04metres per month

Number of months (m) in which both will be of the same length:

Anaconda = python

5.23 + 1.27m = 4.76 + 2.04m

Solve for m

5.23 - 4.76 = 2.04m - 1.27m

0.47 = 0.77m

0.47 / 0.77 = 0.77m / 0.77

0.610 = m

Answer:

yessir

Step-by-step explanation:

which of the following best describes this graph?

Answers

Answer:

B. y=x^2 +7x +10

Step-by-step explanation:

six years from now, mark we'll be four times his age today. what is correct equation in terms of Marc's present age A.x+6=4×B.x=4×+6C.4×=×-6D.x=x+4x​

Answers

Answer: A

Step-by-step explanation: I'm in college. This is middle school math lol

One gallon of gasoline in Buffalo, New York costs $2.29. In Toronto, Canada, one liter of gasoline costs $0.91. There are 3.8 liters in one gallon. How much does one gallon of gas cost in Toronto? Round your answer to the nearest cent. Is the cost of gas greater in Buffalo or in Toronto? How much greater?

Answers

Answer:

-To find the cost of one gallon of gas in Toronto, you have to multiply the cost of one liter of gasoline for 3.8 as you know that there are 3.8 liters in one gallon:

$0.91*3.8=$3.46

This means that a gallon of gas cost $3.46 in Toronto.

-$3.46-$2.29=$1.17

Considering that one gallon of gasoline cost $2.29 in Buffalo and $3.46 in Toronto, the cost is greater in Buffalo. The cost is greater by $1.17.

Item 21 A teacher is making identical activity packets using 92 crayons and 23 sheets of paper. What is the greatest number of packets the teacher can make with no items left over? Item 21 A teacher is making identical activity packets using 92 crayons and 23 sheets of paper. What is the greatest number of packets the teacher can make with no items left over?

Answers

Answer:

The greatest number of packets the teacher can make with no items left over is 23.

Step-by-step explanation:

Total number of crayons = 92

Total number of sheets of paper = 23

To find the greatest number of packets the teacher can make with no items left over, find Highest Common Factor (H.C.F) of 92 and 23

92 = [tex]2^2[/tex] × 23

23 = 23

So,

H.C.F(92,23) = 23

Therefore, the greatest number of packets the teacher can make with no items left over is 23.

the absolute value of -6 symbolically​

Answers

Answer:

Use the ABS function to find the absolute value of a number. The absolute value of a non-negative number (a positive number, or zero), is the same number. For example, the absolute value of 4 is 4.

Step-by-step explanation:

Explanation: The absolute value is defined as the distance from a number to 0 , and so it is always positive. So, the absolute value of −6 will be the distance from −6 to 0 on the number line, and it is 6

I-6I=6
Absolute value is how far the number is from 0. -6 is 6 away from 0, so therefore the absolute value is 6.
Hope this helps!

-6(-5x-1) = 5x+20
WHAT DOES X EQUAL??

Answers

Step-by-step explanation:

30x +6= 5x+20

30x -5x=20-6

25x=14

25x÷25=14÷25

x=0.56

Kate has a 15% mistake in a 60-item test. How many mistake does Kate have in test​

Answers

Answer:  9 mistakes

Work Shown:

15% = 15/100 = 0.15

15% of 60 = 0.15*60 = 9

Answer:9

Step-by-step explanation:

5 stars if correct!! HELP FAST PLEASE!!!

Answers

Answer:

1 banana = 0.25

Step-by-step explanation:

Find the proportion. Simply divide the cost from the amount of bananas given:

0.50/2  = 0.25

1.00/4 = 0.25

1.50/6 = 0.25

$0.25 is the cost per banana, and is your proportion.

~

Answer:

1 banana = + $0.25

2 bananas = + $0.50

Step-by-step explanation:

If it is increasing %0.50 for every 2 bananas then that also means it's increasing $0.25 for every 1 banana.

If 5( 3×7)=20 then what is 6x-8?

Answers

Fix the equation, comment with the correct x placement in the first equation and I can help you.
First, solve for x

Then, plug x into (6x-8). This will be your final answer. If you give me the full question I can help!

1. Solve 3x^2+7=31 using square roots.
2. Solve x^2-12x=45 by factoring
3. Find the zeros of f(x)=6x^2+9x-6

Answers

Answer:

holaaaaaaaa q tallllll

Simplify the expression 5(3x - 7 + 4y)

Answers

Answer:

15x - 35 + 20y

Step-by-step explanation:

Simplify. Distribute 5 to all terms within the parenthesis:

5(3x - 7 + 4y) =

5 * 3x = 15x

5 * -7 = -35

5 * 4y = 20y

15x - 35 + 20y is your answer.

~

The answer is 23567008654 and 2345789

a marathon runner travels 5/2 miles in 1/4 hour. what is the runners unit rate?

Answers

Answer: 2/5

Step-by-step explanation:

Multiply and do math

37.06 - (-26) +34.67

Answers

Answer:

97.73

Step-by-step explanation:

Answer:

97.73

Step-by-step explanation:

The correct answer is A bit can you please explain how that is the answer!

Answers

Answer:

7(x+5)-(2xy^2)

Step-by-step explanation:

"The product of 7" means multiplied by 7

"The sum of x and 5" implies addition

"minus the product of 2, x, and the square of y" means 2, x, and the square of y are all multiplied together subtracted from 7(x+5)

Hope this helps.

Which expression is the completely factored form of x^6– 64y^3?​

Answers

Answer:

[tex](x^2-4y)(x^4+4x^2y+16y^2)[/tex]

Step-by-step explanation:

Factoring

We need to recall the following polynomial identity:

[tex](a^3-b^3)(a-b)(a^2+ab+b^2)[/tex]

The given expression is:

[tex]x^6- 64y^3[/tex]

To factor the above expression, we need to find a and b, knowing a^3 and b^3. a is the cubic root of a^3, and b is the cubic root of b^3:

[tex]a=\sqrt[3]{x^6}=x^2[/tex]

[tex]b=\sqrt[3]{64y^3}=4y[/tex]

Now we apply the identity:

[tex]x^6– 64y^3=(x^2-4y)[(x^2)^2+(x^2)*(4y)+(4y)^2][/tex]

Operating:

[tex]x^6– 64y^3=(x^2-4y)[x^4+4x^2y+16y^2][/tex]

The remaining factors cannot be factored in anymore. Thus the completely factored form is:

[tex]\boxed{(x^2-4y)(x^4+4x^2y+16y^2)}[/tex]

3x + 2y = 6 is an equation in standard form.

The value of y when x is 0 is
.
The value of x when y is 0 is
.

Answers

Answer:

The value of y when x is 0 is

3

The value of x when y is 0 is

2

Step-by-step explanation it correct on Edge

Answer:

The first one is 3 and the second one is 2

Step-by-step explanation:

Just took it

Mr. Nguyen had 5/8 of a gallon of gasoline. He used 1/2 of a gallon in his lawn mower.
How much gasoline does Mr. Nguyen has left?

A.
4/8 of a gallon
B.
1/8 of a gallon
C.
1/6 of a gallon
D.
4/6 of a gallon

Answers

Answer:

1/8 of a gallon

Step-by-step explanation:

5/8=5/8

1/2=4/8

5/8-4/8= 1/8

Answer:

It´s C (AKA) 1/8 G

I did the test.

if K is the midpoint of JL, JK = 8x+11 and KL =14x-1 , find JL

Answers

Answer:

x = 2

Step-by-step explanation:

Set the equations equal to each other, since JK + KL = JL

8x + 11 = 14x - 1 now solve

12 = 6x

2 = x

Mia has a $25 gift card for an online music store. She buys an album for $9.50 and wants to use the remaining money on the card to buy individual songs, which cost $1.25 each. Write and solve an equation to find the number of songs Mia can buy.

Answers

Answer:

12

Step-by-step explanation:

Answer:

Mia can buys 12.4 songs.

Step-by-step explanation:

25 - 9.50 = 15.50

15.50 : 1.25 = 12.4

Which expression is equivalent to 4^5x4^-2

Answers

Answer:

4^3

Step-by-step explanation:

When you are multiplying exponents with the same base (for this problem the base is 4) you add together the exponents. It is kinda hard to explain but that is just a rule you can use. So, 4^(5+(-2))=4^3

what is 18 X 19 i cants figure it out

Answers

Answer:

342

Step-by-step explanation:

Answer:

342

Step-by-step explanation:

If you were asking what 18 times 19 was thats the answer.

2(3x - 5) < 4X
Solve the inequality

Answers

Answer:

5 > x

Step-by-step explanation:

2(3x - 5) < 4x

~Distribute left side

6x - 10 < 4x

~Subtract 6x to both sides

-10 < -2x

~Divide -2 to both sides

5 > x

Best of Luck!

An engineer is building a bridge that should be able to hold a maximum weight of 1 ton. He builds a model of the bridge that is exactly 4 times smaller than the actual bridge. 16 ounces = 1 pound. 2,000 pounds = 1 ton. If a test of the model shows that it holds 8,000 ounces, will the bridge hold 1 ton? 8,000 ounces on the model is equal to ounces on the actual bridge. Convert ounces to pounds. The actual bridge can hold pounds. Therefore, the bridge hold 1 ton.

Answers

Answer:

The bridge can hold 1 ton

Step-by-step explanation:

Given that :

Model of bridge built is exactly 4 times smaller than actual bridge

Model bridge : actual bridge

1 : 4

From test,

Model bridge can hold 8000 ounces

Since actual bridge is 4 times the model bridge,;

Then, actual bridge should hold (8000 * 4) ounces = 32000 ounces

16 ounces = 1 pound

2000 pound = 1 ton

Hence,

32,000 ounces = (32000 / 16) pounds = 2000 pounds

Hence,

2000 pounds = 1 ton

Answer: 1 ton

Step-by-step explanation:

Find the slope of the line passing through the points (-9, -2) and (4, -2).
slope: 0

Answers

-13/4 is the slope. :)

Given; D is the Midpoint of CE / Prove DE =1/2CE

Answers

Answer:

Check explanation

Step-by-step explanation:

Here, we want to make a prove;

Mathematically , since D is the midpoint of CE

Then;

CE = CD + DE

Also, since D splits the line segment into two equal parts as the midpoint, then CD must be equal to DE

I.e CD = DE

Hence, we can express CE as follows;

CE = DE + DE

CE = 2 DE

Divide both sides by 2

CE/2 = DE

Hence; DE = 1/2 CE

Ollie has $145 in her savings account. She wants to save an additional $35 per week until she reaches $500. Identify the rate of change.

Answers

Answer: $75

Step-by-step explanation:

A video uploaded had 15 'up votes'. If the ratio of 'up votes' to 'down votes' was 3 : 1, how many 'down votes' did the video get?

Answers

Answer:

I think it's 5 down votes

Please help me! I’m so confused!! I will give BRAINLIEST :)

A coat hanger is in the shape of isosceles triangle ABC shown in the figure. Sides AB and BC are congruent.

If angle BAC = 22 degrees the angle ABC = ?

Answers

Answer:

136 degrees

Step-by-step explanation:

if BAC is 22 degrees, than BCA is also 22 degrees. together that's 44 degrees. triangles are 180 degrees in total so 180 - 44 is 136

Answer:

Angle ABC is equal to 136 degrees.

Step-by-step explanation:

Since sides AB and BC are congruent (meaning they are equal to each other),  they will have the same angle measurement. So, angle BAC and angle BCA will both have a measure of 22 degrees.

Triangles always add up to 180 degrees, so add 22 and 22 together, and subtract from 180. This leaves you with 136 degrees for angle ABC.

136 + 22 + 22 = 180, so this works!

I hope this helps!

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